475812480 has 256 divisors, whose sum is σ = 1782829440. Its totient is φ = 106414080.

The previous prime is 475812419. The next prime is 475812481. The reversal of 475812480 is 84218574.

It is a happy number.

It is a super-2 number, since 2×475812480² = 452795032247500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (475812481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273694 + ... + 275426.

Almost surely, 2^475812480 is an apocalyptic number.

475812480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891414720).

475812480 is an abundant number, since it is smaller than the sum of its proper divisors (1307016960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

475812480 is a wasteful number, since it uses less digits than its factorization.

475812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 475812480 is about 21813.1263233861. The cubic root of 475812480 is about 780.6899877477.

The spelling of 475812480 in words is "four hundred seventy-five million, eight hundred twelve thousand, four hundred eighty".